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Simplifying -3x + 14 = -5(x + -2) Reorder the terms: 14 + -3x = -5(x + -2) Reorder the terms: 14 + -3x = -5(-2 + x) 14 + -3x = (-2 * -5 + x * -5) 14 + -3x = (10 + -5x) Solving 14 + -3x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 14 + -3x + 5x = 10 + -5x + 5x Combine like terms: -3x + 5x = 2x 14 + 2x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 2x = 10 + 0 14 + 2x = 10 Add '-14' to each side of the equation. 14 + -14 + 2x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 10 + -14 2x = 10 + -14 Combine like terms: 10 + -14 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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